Publication

Theoretical study of an electrostatically actuated torsional microsensor for biological applications

2018
Journal Articles

Abstract

We develop an analytical formulation to calculate the induced resonance frequency shifts of an electrostatically actuated torsional microsensor due to an added bio-mass (E. coli). Based on a lumped-parameter model, we investigate the static and the linear eigenvalue problem of the torsional microsensor. The added mass is modeled as a point mass load placed on different locations along the x-axis of the microsensor. A closed-form expression is determined to calculate the frequency shift under a DC voltage as a function of the added mass. Finite Element Analysis (FEA) results show good agreement with the analytical approach.

Official source

https://infoscience.epfl.ch/entities/publication/92ae2301-954d-4cd0-8e4e-0ddb80c8fd1c

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2018
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/92ae2301-954d-4cd0-8e4e-0ddb80c8fd1c

About this result

Related concepts (32)

Analytical mechanics

In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics. It was developed by many scientists and mathematicians during the 18th century and onward, after Newtonian mechanics. Since Newtonian mechanics considers vector quantities of motion, particularly accelerations, momenta, forces, of the constituents of the system, an alternative name for the mechanics governed by Newton's laws and Euler's laws is vectorial mechanics.

Eigenvalues and eigenvectors

In linear algebra, an eigenvector (ˈaɪgənˌvɛktər) or characteristic vector of a linear transformation is a nonzero vector that changes at most by a constant factor when that linear transformation is applied to it. The corresponding eigenvalue, often represented by , is the multiplying factor. Geometrically, a transformation matrix rotates, stretches, or shears the vectors it acts upon. The eigenvectors for a linear transformation matrix are the set of vectors that are only stretched, with no rotation or shear.

Finite element method

The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems).

Related publications (32)

Theoretical study of an electrostatically actuated torsional microsensor for biological applications

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